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Histograms with Different Widths

Histograms with Different Widths
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2017-05-17 15:47
Probability & StatisticsSlider AnimationGraphing
In collections Concrete-Pictorial-Abstract and the Teaching for Mastery
This example demonstrates how to create histograms with varying bin widths using GeoGebra, illustrating changes in data distribution. Key math concepts include data statistics, frequency distribution, and histogram construction. Construction highlights the use of commands like CountIf for frequency calculation, Polygon for bar drawing, If for conditional logic, TableText for data display, and Histogram for plotting. Suitable for high school mathematics teaching, particularly in probability & statistics and data analysis introductory lessons.

GeoGebra Commands & Parameters

  1. CountIf(B7, list1) → C2
  2. CountIf(B5, list1) → C1
  3. Polygon(A, B, C, D) → poly1, a, b, c, d
  4. Polygon(A_1, B_1, C_1, D_1) → poly1_1, a_1, b_1, c_1, d_1
  5. Polygon(A_2, B_2, C_2, D_2) → poly1_2, a_2, b_2, c_2, d_2
  6. Polygon(A_3, B_3, C_3, D_3) → poly1_3, a_3, b_3, c_3, d_3
  7. Polygon(A_4, B_4, C_4, D_4) → poly1_4, a_4, b_4, c_4, d_4
  8. Polygon(A_5, B_5, C_5, D_5) → poly1_5, a_5, b_5, c_5, d_5
  9. Polygon(A_6, B_6, C_6, D_6) → poly1_6, a_6, b_6, c_6, d_6
  10. Polygon(A_7, B_7, C_7, D_7) → poly1_7, a_7, b_7, c_7, d_7
  11. Polygon(A_8, B_8, C_8, D_8) → poly1_8, a_8, b_8, c_8, d_8
  12. Polygon(A_9, B_9, C_9, D_9) → poly1_9, a_9, b_9, c_9, d_9
  13. Polygon(A_{10}, B_{10}, C_{10}, D_{10}) → poly1_{10}, a_{10}, b_{10}, c_{10}, d_{10}
  14. Polygon(A_{11}, B_{11}, C_{11}, D_{11}) → poly1_{11}, a_{11}, b_{11}, c_{11}, d_{11}
  15. If(D1 ≟ E1, Random[21, 30] / 10, Random[0, 20] / 10) → A11
  16. If(D2 ≟ E2, Random[21, 30] / 10, Random[31, 50] / 10) → A12
  17. CountIf(B5, list2) → C5
  18. CountIf(B6, list2) → C6
  19. CountIf(B7, list2) → C7
  20. TableText({{B4, C4, D4}, {B5, C5, D5}, {B6, C6, D6}, {B7, C7, D7}}, "|_") → text13
  21. TableText({{B4}, {B5}, {B6}, {B7}}, "|_") → text14
  22. Histogram({0, 2, 3, 5}, list3) → f